Finite Group Databasebeta

← Group #13173229

Character table — Group #13173229

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122444444444488888888888899991818181818181818181836363636363611112244444444448888888888889999181818181818181818183636363636361111224444444444888888888888999918181818181818181818363636363636
order1222443344666666121212121212121212121212222244444444444444443666121233121266666612121212121212121212121266661212121212121212121212121212121236661212331212666666121212121212121212121212666612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1ii−i−iii−i−i-1-1i−ii−i1111111111111111111111111111-1-1-1-1-1-1ii−i−iii−i−i-1-1i−ii−i1111111111111111111111111111-1-1-1-1-1-1ii−i−iii−i−i-1-1i−ii−i
χ41111111111111111111111111111-1-1-1-1-1-1−i−iii−i−iii-1-1−ii−ii1111111111111111111111111111-1-1-1-1-1-1−i−iii−i−iii-1-1−ii−ii1111111111111111111111111111-1-1-1-1-1-1−i−iii−i−iii-1-1−ii−ii
χ511111111-1-1111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1
χ611111111-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ711111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i11−ii−ii11111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i11−ii−ii11111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i11−ii−ii
χ811111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii11i−ii−i11111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii11i−ii−i11111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii11i−ii−i
χ91111-1-1111-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-1111111-1-1111-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-1111111-1-1111-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-111
χ101111-1-1111-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-111-1-11111-1-1111-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-111-1-11111-1-1111-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-111-1-1
χ111111-1-1111-11111111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-11−iii−i1111-1-1111-11111111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-11−iii−i1111-1-1111-11111111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-11−iii−i
χ121111-1-1111-11111111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-11i−i−ii1111-1-1111-11111111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-11i−i−ii1111-1-1111-11111111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-11i−i−ii
χ131111-1-111-11111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1111-1-11111-1-111-11111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1111-1-11111-1-111-11111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1111-1-1
χ141111-1-111-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-11-1-1111111-1-111-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-11-1-1111111-1-111-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-11-1-111
χ151111-1-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iii1-1i−i−ii1111-1-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iii1-1i−i−ii1111-1-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iii1-1i−i−ii
χ161111-1-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i1-1−iii−i1111-1-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i1-1−iii−i1111-1-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i1-1−iii−i
χ1722-2-200220022-2-2-2-200000000000022-2-2002-22-2000000000022-2-200220022-2-2-2-200000000000022-2-2002-22-2000000000022-2-200220022-2-2-2-200000000000022-2-2002-22-20000000000
χ1822-2-200220022-2-2-2-200000000000022-2-200-22-22000000000022-2-200220022-2-2-2-200000000000022-2-200-22-22000000000022-2-200220022-2-2-2-200000000000022-2-200-22-220000000000
χ1922-2-200220022-2-2-2-2000000000000-2-222002i−2i−2i2i000000000022-2-200220022-2-2-2-2000000000000-2-222002i−2i−2i2i000000000022-2-200220022-2-2-2-2000000000000-2-222002i−2i−2i2i0000000000
χ2022-2-200220022-2-2-2-2000000000000-2-22200−2i2i2i−2i000000000022-2-200220022-2-2-2-2000000000000-2-22200−2i2i2i−2i000000000022-2-200220022-2-2-2-2000000000000-2-22200−2i2i2i−2i0000000000
χ212-22-22i−2i2200-2-222-2-200002i2i−2i−2i00002-2-222i−2i000000000000002-22-22i−2i2200-2-222-2-200002i2i−2i−2i00002-2-222i−2i000000000000002-22-22i−2i2200-2-222-2-200002i2i−2i−2i00002-2-222i−2i00000000000000
χ222-22-22i−2i2200-2-222-2-200002i2i−2i−2i0000-222-2−2i2i000000000000002-22-22i−2i2200-2-222-2-200002i2i−2i−2i0000-222-2−2i2i000000000000002-22-22i−2i2200-2-222-2-200002i2i−2i−2i0000-222-2−2i2i00000000000000
χ232-22-2−2i2i2200-2-222-2-20000−2i−2i2i2i00002-2-22−2i2i000000000000002-22-2−2i2i2200-2-222-2-20000−2i−2i2i2i00002-2-22−2i2i000000000000002-22-2−2i2i2200-2-222-2-20000−2i−2i2i2i00002-2-22−2i2i00000000000000
χ242-22-2−2i2i2200-2-222-2-20000−2i−2i2i2i0000-222-22i−2i000000000000002-22-2−2i2i2200-2-222-2-20000−2i−2i2i2i0000-222-22i−2i000000000000002-22-2−2i2i2200-2-222-2-20000−2i−2i2i2i0000-222-22i−2i00000000000000
χ252-2-22002200-2-2-2-2220000000000002-22-20000002i−2i2i−2i0000002-2-22002200-2-2-2-2220000000000002-22-20000002i−2i2i−2i0000002-2-22002200-2-2-2-2220000000000002-22-20000002i−2i2i−2i000000
χ262-2-22002200-2-2-2-2220000000000002-22-2000000−2i2i−2i2i0000002-2-22002200-2-2-2-2220000000000002-22-2000000−2i2i−2i2i0000002-2-22002200-2-2-2-2220000000000002-22-2000000−2i2i−2i2i000000
χ272-2-22002200-2-2-2-222000000000000-22-220000002-2-220000002-2-22002200-2-2-2-222000000000000-22-220000002-2-220000002-2-22002200-2-2-2-222000000000000-22-220000002-2-22000000
χ282-2-22002200-2-2-2-222000000000000-22-22000000-222-20000002-2-22002200-2-2-2-222000000000000-22-22000000-222-20000002-2-22002200-2-2-2-222000000000000-22-22000000-222-2000000
χ294444441-2441-21-21-211-2-21-21-211-2-2000000000000000000004444441-2441-21-21-211-2-21-21-211-2-2000000000000000000004444441-2441-21-21-211-2-21-21-211-2-200000000000000000000
χ304444441-2-4-41-21-21-2-1-1221-21-2-1-122000000000000000000004444441-2-4-41-21-21-2-1-1221-21-2-1-122000000000000000000004444441-2-4-41-21-21-2-1-1221-21-2-1-12200000000000000000000
χ31444444-2144-21-21-21-2-211-21-21-2-21100000000000000000000444444-2144-21-21-21-2-211-21-21-2-21100000000000000000000444444-2144-21-21-21-2-211-21-21-2-21100000000000000000000
χ32444444-21-4-4-21-21-2122-1-1-21-2122-1-100000000000000000000444444-21-4-4-21-21-2122-1-1-21-2122-1-100000000000000000000444444-21-4-4-21-21-2122-1-1-21-2122-1-100000000000000000000
χ334444-4-41-24-41-21-21-211-2-2-12-12-1-122000000000000000000004444-4-41-24-41-21-21-211-2-2-12-12-1-122000000000000000000004444-4-41-24-41-21-21-211-2-2-12-12-1-12200000000000000000000
χ344444-4-41-2-441-21-21-2-1-122-12-1211-2-2000000000000000000004444-4-41-2-441-21-21-2-1-122-12-1211-2-2000000000000000000004444-4-41-2-441-21-21-2-1-122-12-1211-2-200000000000000000000
χ354444-4-4-214-4-21-21-21-2-2112-12-122-1-1000000000000000000004444-4-4-214-4-21-21-21-2-2112-12-122-1-1000000000000000000004444-4-4-214-4-21-21-21-2-2112-12-122-1-100000000000000000000
χ364444-4-4-21-44-21-21-2122-1-12-12-1-2-211000000000000000000004444-4-4-21-44-21-21-2122-1-12-12-1-2-211000000000000000000004444-4-4-21-44-21-21-2122-1-12-12-1-2-21100000000000000000000
χ374-44-44i−4i1-200-121-2-123-300i−2i−i2i3i−3i00000000000000000000004-44-44i−4i1-200-121-2-123-300i−2i−i2i3i−3i00000000000000000000004-44-44i−4i1-200-121-2-123-300i−2i−i2i3i−3i0000000000000000000000
χ384-44-44i−4i1-200-121-2-12-3300i−2i−i2i−3i3i00000000000000000000004-44-44i−4i1-200-121-2-12-3300i−2i−i2i−3i3i00000000000000000000004-44-44i−4i1-200-121-2-12-3300i−2i−i2i−3i3i0000000000000000000000
χ394-44-44i−4i-21002-1-212-1003-3−2ii2i−i003i−3i000000000000000000004-44-44i−4i-21002-1-212-1003-3−2ii2i−i003i−3i000000000000000000004-44-44i−4i-21002-1-212-1003-3−2ii2i−i003i−3i00000000000000000000
χ404-44-44i−4i-21002-1-212-100-33−2ii2i−i00−3i3i000000000000000000004-44-44i−4i-21002-1-212-100-33−2ii2i−i00−3i3i000000000000000000004-44-44i−4i-21002-1-212-100-33−2ii2i−i00−3i3i00000000000000000000
χ414-44-4−4i4i1-200-121-2-123-300−i2ii−2i−3i3i00000000000000000000004-44-4−4i4i1-200-121-2-123-300−i2ii−2i−3i3i00000000000000000000004-44-4−4i4i1-200-121-2-123-300−i2ii−2i−3i3i0000000000000000000000
χ424-44-4−4i4i1-200-121-2-12-3300−i2ii−2i3i−3i00000000000000000000004-44-4−4i4i1-200-121-2-12-3300−i2ii−2i3i−3i00000000000000000000004-44-4−4i4i1-200-121-2-12-3300−i2ii−2i3i−3i0000000000000000000000
χ434-44-4−4i4i-21002-1-212-1003-32i−i−2ii00−3i3i000000000000000000004-44-4−4i4i-21002-1-212-1003-32i−i−2ii00−3i3i000000000000000000004-44-4−4i4i-21002-1-212-1003-32i−i−2ii00−3i3i00000000000000000000
χ444-44-4−4i4i-21002-1-212-100-332i−i−2ii003i−3i000000000000000000004-44-4−4i4i-21002-1-212-100-332i−i−2ii003i−3i000000000000000000004-44-4−4i4i-21002-1-212-100-332i−i−2ii003i−3i00000000000000000000
χ4588-8-8002-4002-4-24-240000000000000000000000000000000088-8-8002-4002-4-24-240000000000000000000000000000000088-8-8002-4002-4-24-2400000000000000000000000000000000
χ4688-8-800-4200-424-24-20000000000000000000000000000000088-8-800-4200-424-24-20000000000000000000000000000000088-8-800-4200-424-24-200000000000000000000000000000000
χ478-8-88002-400-24-242-4000000000000000000000000000000008-8-88002-400-24-242-4000000000000000000000000000000008-8-88002-400-24-242-400000000000000000000000000000000
χ488-8-8800-42004-24-2-42000000000000000000000000000000008-8-8800-42004-24-2-42000000000000000000000000000000008-8-8800-42004-24-2-4200000000000000000000000000000000
χ49111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ501111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ511111111111111111111111111111-1-1-1-1-1-1ii−i−iii−i−i-1-1i−ii−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i321+i32ζ11−ζ11ζ11−ζ11
χ521111111111111111111111111111-1-1-1-1-1-1−i−iii−i−iii-1-1−ii−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i321−i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i321+i32−ζ11ζ11−ζ11ζ11
χ5311111111-1-1111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ5411111111-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ5511111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i11−ii−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i32−ζ11ζ11−ζ11ζ11
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χ10411111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii11i−ii−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i32ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i32ζ7−ζ7ζ7−ζ7
χ1051111-1-1111-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32
χ1061111-1-1111-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32
χ1071111-1-1111-11111111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-11−iii−i−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i32−1+i32−ζ7ζ7ζ7−ζ7
χ1081111-1-1111-11111111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-11i−i−ii−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i32−1+i32ζ7−ζ7−ζ7ζ7
χ1091111-1-111-11111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32
χ1101111-1-111-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-11-1-111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32
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χ1121111-1-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i1-1−iii−i−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32−ζ7ζ7ζ7−ζ7
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.